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Finding the Third Proportional to 124,514 and 193,119

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Solution

The third proportional to 124,514 and 193,119 is: 299,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,514 : 193,119 = 193,119 : x
  2. Step 2: Convert to fraction form
    124,514/193,119 = 193,119/x
  3. Step 3: Cross multiply
    124,514x = 193,119 × 193,119
  4. Step 4: Simplify right side
    124,514x = 37,294,948,161
  5. Step 5: Solve for x
    x = 37,294,948,161/124,514
  6. Step 6: Final answer
    x = 299,524.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.